Show that in the Argand's diagram the points represented by the complex numbers 2 + i, 4 + 3i, 2 + 5i, 3i taken in order form a square.

Show that the points represented by the complex numbers 2 + 2i, -2 - 2i, -2sqrt(3) + 2sqrt(3) i in the Argand's plane form an equilateral triangle.

Represent the following complex numbers in polar form. -i

Find the modulus and argument of the complex number (1 + 2i )/(1 - 3i).

Convert the complex number z = (2 + 6sqrt(3)i) / (5 + sqrt(3)i) in polar form.

Find the modulus and argument of the complex numbers frac{1+2i}{1-3i}

Find the modulus and argument of the complex numbers frac{1+2i}{1-3i}

Find the square root of the following complex numbers: 3+2 sqrt 10 i

Find the square root of the following complex numbers: 2(1- sqrt 3 i)

Represent the following complex numbers in the polar form and in the exponential form 3i